Maximum - math problems
Number of problems found: 74
- Maximum area of rhombus
Calculate the interior angles at which equilateral rhombus has a maximum area.
- Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
The body was thrown vertically upward at speed v0 = 79 m/s. Body height versus time describe equation ?. What is the maximum height body reach?
Into rotating cone with dimensions r = 8 cm and h = 8 cm incribe cylinder with maximum volume so that the cylinder axis is perpendicular to the axis of the cone. Determine the dimensions of the cylinder.
From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 881 tiles.
On the pedestal high 4 m is statue 2.7 m high. At what distance from the statue must observer stand to see it in maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m.
- Butterflies and bees
There were 35 flowers in the garden. The butterflies were on 17 flowers. There were butterflies and bees on 8 flowers. Can you find out on how many flowers were only bees? Note. there was a maximum of one butterfly and a maximum of one bee on each flower.
In a class are 26 children. During the holidays 16 children were in the camps and 14 children on holiday with their parents. Determine the minimum and maximum number of children that may have been in the camp and on holiday with their parents at the same
- Railway wagon
The railway wagon holds 75 m3 load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagons?
Write the smallest and largest 2-digit number.
Roman is ranked 12th highest and eleventh lowest pupil. How many classmates does Roman have?
In the class was 12 students. Nine students wearing trousers and turtleneck eight. How many students worn trousers with a turtleneck?
The speedometer of a car reads 66 km/h. It's accurate to within 4.1% What is the maximum possible error?
- One green
In the container are 45 white and 15 balls. We randomly select 5 balls. What is the probability that it will be a maximum one green?
- Two integers
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
Imagine a set of students in your class (number of students: 19), who wears glasses. How much minimum and maximum element may contain this set.
- 5-number summary
Given the following 5-number summary: 11, 19, 24, 30, 48 which of the statistics cannot be determined?
4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
- Cylindrical container
An open-topped cylindrical container has a volume of V = 3140 cm3. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container.
Circle is given by centre on S[-7; 10] and maximum chord 13 long. How many intersect points have circle with the coordinate axes?